In the framework of a tight binding model, effect of the lattice site position fluctuation on the energy band and the electronic states of DNA is studied by means of stimulation with the square distribution. Effect of the position fluctuation on the conductivity of DNA is also analyzed. It is found that with the enhancement of the fluctuation the band gap becomes smaller and the electronic states become localized. The electronic states around the bottom of conductance band appear apparently localized with a room temperature fluctuation. Therefore, even if these base pairs were arranged orderly, the band resonant charge transport mechanism might not be suitable for DNA at room temperature.